821081460096 has 256 divisors, whose sum is σ = 2470291488000. Its totient is φ = 268437970944.

The previous prime is 821081460071. The next prime is 821081460109. The reversal of 821081460096 is 690064180128.

821081460096 is a `hidden beast` number, since 8 + 21 + 0 + 8 + 14 + 600 + 9 + 6 = 666.

It is a super-2 number, since 2×821081460096² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39861576 + ... + 39882168.

It is an arithmetic number, because the mean of its divisors is an integer number (9649576125).

Almost surely, 2^821081460096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821081460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235145744000).

821081460096 is an abundant number, since it is smaller than the sum of its proper divisors (1649210027904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821081460096 is a wasteful number, since it uses less digits than its factorization.

821081460096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20838 (or 20820 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 821081460096 in words is "eight hundred twenty-one billion, eighty-one million, four hundred sixty thousand, ninety-six".